Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission. These are detailed in Choose a strategy to factor polynomials completely. They are called “prime.”īelow we summarize the methods we have so far. This factoring polynomials square puzzle shared by Public Schools of North Carolina in their Resources for Algebra Blackline Masters collection is a great way to give students lots of practice with factoring quadratics This type of puzzle is also known as a tarsia puzzle. This is the only method to use for polynomials of more than three terms. Factoring Polynomials Square Puzzle Activity. If it has more than three terms, try the grouping method. If it is a trinomial where the leading coefficient is one, x 2 + b x + c x 2 + b x + c, use the “undo FOIL” method. How many terms does it have? Is it a binomial? A trinomial? Or does it have more than three terms? The next thing to consider is the type of polynomial. How will you know when to use each factoring method? As you learn more methods of factoring, how will you know when to apply each method and not get them confused? It will help to organize the factoring methods into a strategy that can guide you to use the correct method.Īs you start to factor a polynomial, always ask first, “Is there a greatest common factor?” If there is, factor it first. More methods will follow as you continue in this chapter, as well as later in your studies of algebra. In the first two sections of this chapter, we used three methods of factoring: factoring the GCF, factoring by grouping, and factoring a trinomial by “undoing” FOIL. Let’s summarize where we are so far with factoring polynomials. Recognize a Preliminary Strategy for Factoring If you missed this problem, review Example 1.24. Combine like terms 12 x 2 + 3 x + 5 x + 9 12 x 2 + 3 x + 5 x + 9.
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